University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 29 - Electromagnetic Induction - Problems - Exercises - Page 981: 29.5

Answer

a. 34 V. b. Counterclockwise.

Work Step by Step

Apply Faraday’s law. Let +z be the positive direction for the area vector $\vec{A}$. The initial flux is positive, and the final flux is zero. a. $$\epsilon=-\frac{\Delta \Phi_B}{\Delta t}$$ $$\epsilon=-\frac{0-(1.5T)\pi(0.120m)^2}{0.0020s}=+34V$$ b. The emf is positive and the loop’s area vector is toward the viewer. By the right hand rule, the induced current is counterclockwise.
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